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Solve the differential equation by separation of variables x(dy/dx)=4y
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5 votes
Solve the differential equation by separation of variables
x(dy/dx)=4y

User Pavel Cermak
by
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1 Answer

3 votes
get all your x one on side and y on the opposing side so we have
xdy=4ydx
dy/y=4dx/x
integrate both sides
lny=4lnx+C
 y=e^(4lnx+C)
The answer is y=cx^4

User Sysuser
by
8.0k points
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